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The area of each of the three circular regions in the figure
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The area of each of the three circular regions in the figure [#permalink] New post  01 Feb 2017, 13:47
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GRE - powerprep The area of each of the three circular regions in the figure shown is 40.jpg
GRE - powerprep The area of each of the three circular regions in the figure shown is 40.jpg [ 11.78 KiB | Viewed 12638 times ]


The area of each of the three circular regions in the figure shown is 40, and the area of the intersection of any of the two of the circular regions is 15.

Quantity A
Quantity B
The sum of the areas of the shaded regions
30


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: The area of each of the three circular regions in the figure [#permalink] New post  26 Nov 2019, 06:54
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Tricky part: Move the little shaded part from the one circle to the other:

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Re: The area of each of the three circular regions in the figure [#permalink] New post  08 Feb 2017, 22:57
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Explanation

Now redrawing the figure given in question as:

Image

Now area A is intersection of two circles and area B is same as area C.

So the shaded area can be thought of as Area of a complete circle - area of intersection of two circles.

Thus Shaded area = 40 - 15 = 25.

Clearly Quantity B is greater.
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Re: The area of each of the three circular regions in the figure [#permalink] New post  22 Jan 2020, 05:45
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GREcrusher wrote:
Tricky part: Move the little shaded part from the one circle to the other:

Image

this is the best explanation
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Re: The area of each of the three circular regions in the figure [#permalink] New post  12 Mar 2021, 07:11
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